Use a 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: Not all the population means are equal. На: М1 = М2 = из =H4 о но: H1 + H2 + H3 + H4 На: М1 = M2 = M3 = H4 O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. о но н1 = H2= H3 = 14 на: M1 #H2 + H3 + H4 о но: H1 = H2= из = H4 Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round p-value = answer to three decimal places.) State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.

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State the null hypthosis and after please. Don't worry filling out the table. 

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.)

| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
|---------------------|----------------|--------------------|-------------|---|---------|
| Treatments          | 1,500          |                    |             |   |         |
| Blocks              | 800            |                    |             |   |         |
| Error               |                |                    |             |   |         |
| Total               | 3,000          |                    |             |   |         |

Use α = 0.05 to test for any significant differences.
Transcribed Image Text:An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) | Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value | |---------------------|----------------|--------------------|-------------|---|---------| | Treatments | 1,500 | | | | | | Blocks | 800 | | | | | | Error | | | | | | | Total | 3,000 | | | | | Use α = 0.05 to test for any significant differences.
Use \(\alpha = 0.05\) to test for any significant differences.

State the null and alternative hypotheses.

- \(H_{0}\): Not all the population means are equal.  
  \(H_{a}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\)
  
- \(H_{0}\): \(\mu_{1} = \mu_{2} \ne \mu_{3} \ne \mu_{4}\)  
  \(H_{a}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\)
  
- \(H_{0}\): At least two of the population means are equal.  
  \(H_{a}\): At least two of the population means are different.
  
- \(H_{0}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\)  
  \(H_{a}\): \(\mu_{1} \ne \mu_{2} + \mu_{3} \ne \mu_{4}\)

- \(H_{0}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\)  
  \(H_{a}\): Not all the population means are equal.

Find the value of the test statistic. (Round your answer to two decimal places.)
\[ \_\_\_\_\_\_ \]

Find the \(p\)-value. (Round your answer to three decimal places.)
\[ p\text{-value} = \_\_\_\_\_\_ \]

State your conclusion.

- \(\circ\) Reject \(H_{0}\). There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
- \(\circ\) Reject \(H_{0}\). There is sufficient evidence to conclude that the means of the four treatments are not all equal.
- \(\circ\) Do not reject \(H_{0}\). There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
- \(\circ\) Do not reject \(H_{0}\). There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Transcribed Image Text:Use \(\alpha = 0.05\) to test for any significant differences. State the null and alternative hypotheses. - \(H_{0}\): Not all the population means are equal. \(H_{a}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\) - \(H_{0}\): \(\mu_{1} = \mu_{2} \ne \mu_{3} \ne \mu_{4}\) \(H_{a}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\) - \(H_{0}\): At least two of the population means are equal. \(H_{a}\): At least two of the population means are different. - \(H_{0}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\) \(H_{a}\): \(\mu_{1} \ne \mu_{2} + \mu_{3} \ne \mu_{4}\) - \(H_{0}\): \(\mu_{1} = \mu_{2} = \mu_{3} = \mu_{4}\) \(H_{a}\): Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) \[ \_\_\_\_\_\_ \] Find the \(p\)-value. (Round your answer to three decimal places.) \[ p\text{-value} = \_\_\_\_\_\_ \] State your conclusion. - \(\circ\) Reject \(H_{0}\). There is not sufficient evidence to conclude that the means of the four treatments are not all equal. - \(\circ\) Reject \(H_{0}\). There is sufficient evidence to conclude that the means of the four treatments are not all equal. - \(\circ\) Do not reject \(H_{0}\). There is not sufficient evidence to conclude that the means of the four treatments are not all equal. - \(\circ\) Do not reject \(H_{0}\). There is sufficient evidence to conclude that the means of the four treatments are not all equal.
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